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ACT Math — Functions — Drill 3

Drill 3 · Math · Functions

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About This Drill

ACT Math — Functions — Drill 3 is a Math practice drill covering Functions. It contains 5 original questions created by Brian Stewart, a Barron's test prep author with over 20 years of tutoring experience.

This ACT Functions drill covers identifying functions using the vertical line test, finding the range of a quadratic function, applying exponential decay models, finding the inverse of a linear or quadratic function, and analyzing the zeros of polynomial functions.

Questions in This Drill

  1. Which of the following sets of ordered pairs represents a function?
  2. What is the range of the function f(x) = −2(x − 1)2 + 8?
  3. The value of a car is modeled by V(t) = 24,000 · (0.88)t, where t is the number of years since purchase. By approximately what percentage does the car's value decrease each year?
  4. If f(x) = (x + 5) / 3, which of the following is f−1(x), the inverse of f?
  5. The function p(x) = (x + 2)2(x − 1)(x − 4) has how many distinct real zeros, and what is the degree of p?